In a right triangle, a and b are the lengths of the legs and c is the length of the hypotenuse. If a = 20 inches and b = 15 inches, what is c? If necessary, round to the nearest tenth. c = _____ inches

To find the length of the hypotenuse ( c ) in a right triangle, we can use the Pythagorean theorem, which states:

[

c^2 = a^2 + b^2

]

Given ( a = 20 ) inches and ( b = 15 ) inches, we can plug in these values:

[

c^2 = 20^2 + 15^2

]

Calculating the squares:

[

c^2 = 400 + 225

]

[

c^2 = 625

]

Now, take the square root of both sides to solve for ( c ):

[

c = sqrt{625}

]

[

c = 25 text{ inches}

]

So, the length of the hypotenuse ( c ) is 25 inches.

To find the length of the hypotenuse ( c ) in a right triangle, we can use the Pythagorean theorem, which states:

[ c^2 = a^2 + b^2 ]

In this case:

– ( a = 20 ) inches

– ( b = 15 ) inches

Now, plug in the values:

[ c^2 = 20^2 + 15^2 ]

[ c^2 = 400 + 225 ]

[ c^2 = 625 ]

Now, take the square root of both sides to find ( c ):

[ c = sqrt{625} ]

[ c = 25 ] inches

So, the length of the hypotenuse ( c ) is 25 inches.